面向企业最优生产计划的线性规划广义逆优化模型

将依据互补最优性条件探讨面向企业最优生产计划的线性规划,如何通过调整其产品成本系数、资源消耗系数和资源拥有量等参数,使某些非可行解成为最优解的广义逆优化问题的数学模型.该问题具有重要应用价值:可以解决采用常规求解方法或启发式算法制定企业最优生产计划时,对资源约束进行刚性处理所导致的经常因生产能力不足使企业不能及时响应市场需求的问题,使企业的整体优化和具体业务流程再造相协调.

Generalized Inverse Optimal Models of Linear Programming for Enterprise Optimal Production Plan

This paper will approach some mathematics models of generalized inverse problem according to complementary optimum condition that how to make some infeasible solutions become optimal solutions by adjusting its coefficients like products cost coefficient,resources consumption coefficient and the quantity of owning resources in linear programming for enterprise optimal production plan.This problem has important using value:It can solve the problem that when using normal solving method or heuristic algorithm to formulate enterprise optimal production plan,enterprise couldn't response market require in time because of lacking productive ability caused by rigid treatment to resources restrain and coordinate the whole optimization of enterprise and specific business process reengineering.